The Family of Quadratic Systems with Two Invariant Conics: Parabola and Hyperbola [Articol]
| dc.contributor.author | Vulpe, Nicolae | en |
| dc.date.accessioned | 2025-07-03T06:36:24Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We consider the family of quadratic systems QSPHη>0 having three real distinct infinite singularities and possessing at least two invariant conics: a parabola and a hyperbola. All the possible configurations of these invariant conics including invariant lines (when they exist) are determined. We describe completely the set of such systems and we prove the existence of exactly 38 distinct configurations which could possess a system in this family. | en |
| dc.description.sponsorship | This work was supported by the Institutional Research Program 011303 “SATGED” for 2024-2027, Moldova State University and partially supported by the grant number 21.70105.31 S¸D | |
| dc.identifier.citation | VULPE, Nicolae. The Family of Quadratic Systems with Two Invariant Conics: Parabola and Hyperbola. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 212-217. ISBN 978-9975-68-515-3. | en |
| dc.identifier.isbn | 978-9975-68-515-3 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/18258 | |
| dc.language.iso | en | |
| dc.subject | quadratic systems | en |
| dc.subject | invariant conics | en |
| dc.subject | invariant line | en |
| dc.subject | configurations of invariant conics | en |
| dc.subject | affine transformation | en |
| dc.title | The Family of Quadratic Systems with Two Invariant Conics: Parabola and Hyperbola [Articol] | en |
| dc.type | Article |